What is the Least Common Multiple of 55295 and 55305?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 55295 and 55305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55295 and 55305, than apply into the LCM equation.

GCF(55295,55305) = 5
LCM(55295,55305) = ( 55295 × 55305) / 5
LCM(55295,55305) = 3058089975 / 5
LCM(55295,55305) = 611617995

Least Common Multiple (LCM) of 55295 and 55305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55295 and 55305. First we will calculate the prime factors of 55295 and 55305.

Prime Factorization of 55295

Prime Factorization of 55305

Now multiplying the highest exponent prime factors to calculate the LCM of 55295 and 55305.

LCM(55295,55305) = 5¹ × 11059¹ × 3² × 1229¹
LCM(55295,55305) = 611617995